Coherence and Other Properties of Sheaves in the Kohn Algorithm

Autor:	Nicoara, Andreea C.
Rok vydání:	2013
Předmět:	Mathematics - Algebraic Geometry Mathematics - Complex Variables 32W05 35A27 (Primary) 32C05 (Secondary)
Zdroj:	International Journal of Mathematics 25 (2014) no.8
Druh dokumentu:	Working Paper
DOI:	10.1142/S0129167X14500773
Popis:	In the smooth case, we prove quasi-flasqueness for the sheaves of all subelliptic multipliers as well as at each of the steps of the Kohn algorithm on a pseudoconvex domain in $\C^n.$ We use techniques by Jean-Claude Tougeron to show that if the domain has a real-analytic defining function, the modified Kohn algorithm involving generating ideals and taking real radicals only in the ring of real-analytic germs yields quasi-coherent sheaves. This sharpens a result obtained by J. J. Kohn in 1979. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1308.5289 Zobrazit plný text záznamu View this record from Arxiv